As The World Curves
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Students partisipate in a web scavenger hunt on an introductory lesson plan for conic sections. They become familiar with general forms of the equations, what they look like, and how they are used in the real-world.
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What Does Area Have to Do with Slope? | Essence of Calculus, Chapter 9
It seems like area and slope wouldn't have any connection. Here is a video that explains how to find the average value of a function over an interval. It connects the area under a curve to the slope of the antiderivative curve.
13 mins 11th - Higher Ed Math